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13780250373184 = 26895897410257
BaseRepresentation
bin1100100010000111011011…
…1011011010110001000000
31210210101020100020021110021
43020201312323122301000
53301233423043420214
645150320513543224
72621406310344451
oct310416673326100
953711210207407
1013780250373184
1144331980a3559
121666855b74b14
1378c61a0a0679
14358d7943b128
1518d6c8bb7924
hexc8876edac40

13780250373184 has 56 divisors (see below), whose sum is σ = 27657190248120. Its totient is φ = 6811536162816.

The previous prime is 13780250373163. The next prime is 13780250373251. The reversal of 13780250373184 is 48137305208731.

It can be written as a sum of positive squares in 4 ways, for example, as 7087308840000 + 6692941533184 = 2662200^2 + 2587072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33384184 + ... + 33794440.

Almost surely, 213780250373184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13780250373184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13828595124060).

13780250373184 is an abundant number, since it is smaller than the sum of its proper divisors (13876939874936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13780250373184 is an equidigital number, since it uses as much as digits as its factorization.

13780250373184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416255 (or 416245 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 13780250373184 in words is "thirteen trillion, seven hundred eighty billion, two hundred fifty million, three hundred seventy-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 1424 2848 5696 5897 11794 23588 47176 94352 188704 377408 410257 524833 820514 1049666 1641028 2099332 3282056 4198664 6564112 8397328 13128224 16794656 26256448 33589312 36512873 73025746 146051492 292102984 584205968 1168411936 2336823872 2419285529 4838571058 9677142116 19354284232 38708568464 77417136928 154834273856 215316412081 430632824162 861265648324 1722531296648 3445062593296 6890125186592 13780250373184